To find the critical number of that function we have to find the derivative and set it equal to 0 and solve for x. The derivative of the function is f'(x)=-10x+2. If we set it equal to 0 and solve, we have x = -2/-10 which simplifies to x = 1/5.
Answer:
b
Step-by-step explanation:
its 5 bc 6
Answer:
68
Step-by-step explanation:
Any function is evaluated by putting the argument value where the variable is, then doing the arithmetic. When the argument is another function value, that function value is evaluated first.
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<h3>f∘g</h3>
The "o" in (fog) is a stand-in for the "ring operator" (∘) which is the operator used to signify a composition. A composition is evaluated right-to-left. That means (f∘g)(x) ≡ f(g(x)). The value of g(x) is found first, and is operated on by the function f.
Writing the composition in the form f(g(x)) lets you identify the layers of parentheses. As with any expression evaluation, the Order of Operations applies. It tells you to evaluate the expression in the innermost parentheses and work your way out.
<h3>g(-2)</h3>
To evaluate (f∘g)(-2) = f(g(-2)), we must first evaluate g(-2). That is ...
g(x) = 5x +4
g(-2) = 5(-2) +4 = -10 +4 = -6 . . . . . put -2 where x is, do the math
<h3>f(g(-2))</h3>
Now that we know g(-2) = -6, we know this expression is ...
f(-6) = 8 -10(-6) = 8 +60 = 68 . . . . . substitute for x in 8-10x
Then the value we're looking for is ...
(f∘g)(-2) = 68
So, we have 4 cups of flour and 6 cups of sugar and we need to know how many cups of sugar per cup of flour does the recipe require. Because it is requested to know how many cups of sugar per cup of flour does the recipe require, we need to divide the amount of flour and sugar by the amount of flour, and we will know what we need to know.
4 cups of flour / 4 = 1 cup flour
6 cups of sugar / 4 = 6/4 = 3/2 = 1 1/2 cups of sugar per cup of flour is the solution